Plastic zone correction in a stretched thick-walled cylinder with an internal circumferential crack

Plastic Deformation at the Tip of an Edge Crack

“…Recently some of the authors of the papers [5][6][7][8][9][10][11][12] have contributed significantly to penny and line crack problems in elastic solids by using the Dugdale hypothesis. It is also important to mention the work by Olesiak and Shadley [13], Olesiak and Wnuk [14], and Tsai [15] for a penny-shaped crack, by Wang and Shen [16], by Herrmann and Wang [17] for thermal loading, and by Smith [18] for the stability problem.…”

Closed-form solution for the size of plastic zone in an edge-cracked strip

“…1 relation (27) returns to (6), and (28) becomes which is the solution for a semi-infinite crack in the whole space with uniform forces, p 0 on the crack surfaces, 0 < x < l.…”

“…A number of solutions for notches, cracks and spatial penny-shaped cracks under anti-plane or in-plane deformations were obtained using the Dugdale hypothesis, for example, see recent works by Singh and coworkers [2][3][4][5][6][7][8][9][10], Olesiak and Wnuk [11], Olesiak and Shadley [12], Tsai [13], Fan [14,15], Wang and Shen [16]. It is also important to mention the early work by Atkinson and Howard [17], Bilby et al [18], Field [19], Koskinen [20], Rice [21], Smith [22].…”

The stress intensity factors for an infinitely long transversely isotropic, thick-walled cylinder which contains a ring-shaped crack

“…In that solution a Love function was used to formulate the problem and by using Hankel and Fourier transform techniques the problem was reduced to a singular integral equation. See also [10].…”